The letters r and 0 represent polar coordinates. Write the equation using rectangular coordinates (x, y). 9) r cos 0 10) r= 5 11) r= 10 sin e

Q: Convert the polar equation r2 = -2 sin 20 to a Cartesian equation. O +y? = 2 xy O12+)² = -4 xy…

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Q: Change the following from polar points (r, theta) to rectangular points (x,y). a)     (5,150o) b)…

A: We know that polar coordinates (r, theta)  and rectangular coordinates (x,y) are related by the…

Q: Convert the Cartesian coordinates (5,1) to polar coordinates with r>0 and 0≤θ<2π. r= √26   Enter…

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Q: Convert the rectangular equation to polar form. y= x/2. e=5r/6 cote=5 cot0=2 e=3r/4 Convert the…

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Q: The polar equation r = a+a cos 8, where a > 0, has a tangent line at (0, 7)

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Q: 1/A) Replace the polar equation by equivalent Cartesian equation r2cose + 2sino

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Q: The polar form of the Cartesian equation x = 4 is Select one: a. r sin 0 = 4 b. r= 4 cosec 0 c. r= 4…

A: We have to find the polar form of the Cartesian equation  x = 4

Q: O Find two different ways to represent the following rectangular coordinates in polar coordinates:…

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Q: The equivalent Cartesian equation of the polar equation r = tan0sec0 is: A) y = x. B) y= x2. C) ху —…

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Q: Convert the polar equation to rectangular coordinates. (Use variables x and y as needed.) r = 9 +…

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Q: Replace the polar equation with an equivalent Cartesian equation. r= 3 cot 0 csc e Oy= 3x2 Oy = 3x 3…

A: As per our guidelines we are supposed to answer only one question and rest of it reposted.

Q: Find the exact length of the polar curve. r = 6 sin ?,    0 ≤ ? ≤ ?/3

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Q: The polar form of the Cartesian equation x = 4 is ... ...... Select one: a. r sin 0 = 4 %3D b. r=4…

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Q: 13n Match the point in polar coordinates 4, to the points A, B, C, or D. 4 04 4, . OB 4, 4 oc(4.-) C…

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Q: The polar form of the Cartesian equation x = 4 is Select one: a. r sin 0 = 4 b. r=4 cosec 0 c. r=4…

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Q: H.W 1-Replace the polar equations with equivalent Cartesian equations. 4]. p? = -sin 0

A: We have to replace the given polar equation with equivalent cartesian equation. r2=-sinθ

Q: Find the Slope of the polar urve at the indicated pont r= 6 sin 4e

A: Given,             r=6sin4θ , θ=0

Q: The Cartesian equation, x = 3, is equivalent to the polar equation, Or² = 3 cos 0 3 COS O r = r = 1…

A: We are given a Cartesian equation  x=3 and we have to which among the following is it's equivalent…

Q: Write in Polar form: r(cos 0 + i sin 0). (0 < 0 < 2n and round to 3 decimal places) — 12 — Зі r =…

A: Given: -12-3i. The objective is to write the polar form.

Q: Find a polar equation corresponding to the given rectangular equation. y= 15 1 sec(0) r= 15csc(0) r=…

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Q: Replace the polar equation r2 sin 20 = 2 with equivalent Carte sian equation %3D

A: Given, The polar equation  r2sin2θ = 2    We have to write the equivalent cartesian equation.

Q: Convert the given Cartesian coordinates to polar coordinates with r > 0,0 ≤ theta ≤ 2pi. (−4, 6)

A: Polar coordinate

Q: 22. y dA, where S is the first quadrant polar rectangle in- side x? + y? = 4 and outside x+ y? = 1

A: Evaluation of the double integral by using polar coordinates

Q: Find the polar coordinates of the point with r> 0 and 0 se s 2n. (r, 8) = 2 2 3 4 5

A: Major the distance from origine and angle made from horizontal line by the given point.

Q: 13n Match the point in polar coordinates 2, to the points A, B, C, or D. 4

A: Here simple we satisfy angle property

Q: H.W 1-Replace the polar equations with equivalent Cartesian equations. 3]. r = 4 tan O sec 0

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Q: The letters r and 0 represent polar coordinates. Write the equation using rectangular coordinates…

A: Given

Q: Replace the following polar equation by equivalent cartesian equation: r= 2 cos(theta) + 2…

A: See the attachment

Q: Q4: Replace the following polar equations by equivalent Cartesian equations 1- r sin 0 -1 2- r= - 3…

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Q: Convert the polar equation to rectangular coordinates. (Us 16 r = 1 +4 sin e

A: Given:

Q: Transform the polar equation ?r = 5 cos(0) to an equation in a and y.

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Q: The Cartesian equation, x = 4, is equivalent to the polar equation, 1 = 4 cose 4 r = cose 43 r =…

A: Given is the cartesian equation x=4. The objective is to write the equivalent polar equation. In…

Q: Convert the given polar equation into a Cartesian equation. r = 4sin 0+ 6cos 0 Select the correct…

A: Use the convargen from polar to Cartesian coordinate.

Q: Complete the table of coordinates below. Where necessary,round to two decimal places. Then plot the…

A: we use the trigonometric values for cosθ to find out the coordinate r for each θ .

Q: For the given rectangular equation, give its equivalent polar equation. 6x - y = 14 r= H 14 6 sin…

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Q: Transform the given polar equation to retngulr coordinates and identitythe cuve represented 5+4x y =…

A: The answer is found in step-2

Q: The Cartesian equation xy=1 is equivalent to r^a sin(2theta)=b in polar coordinates what is a+b=

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Q: For the given rectangular equation, give its equivalent polar equation. 6x - y = 14 14 r = 6 sin e -…

A: The rectangular equation is given by 6x-y = 14 To evaluate : The equivalent polar equation.

Q: Given the polar coordinates (1,7π/8) determine (x,y). What is x=______. (round to 3 decimal)

A: In this question, we need to find the rectangular coordinates (x, y) from the given polar…

Q: Find the lengths of the curves given by the polar coordinate equations r = 2 sin θ + 2 cos θ, 0 ≤ θ…

A: Given: r=2sinθ+2cosθ; 0≤θ≤π2 for finding length of curve given by the given polar equation, first we…

Q: H.W 1-Replace the polar equations with equivalent Cartesian equations 1). r = 2+sin 0 2]. 3]. 4].

A: Given that  r=2+sintheta  To covert the polar equation into Cartesian equation

Q: r = 3/1+sin(θ)

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Q: Which Cartesian equation is equivalent to the given polar equation? 3 r = sin 0 +7 cos 0 O y + 7x =…

A: We have to find Cartesian equation of given polar equation.

Q: Find the Cartesian coordinates of the given polar coordinates. a) (4,pi) : (x,y)=? b) (4, -2pi/3)…

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Q: H.W 1-Replace the polar equations with equivalent Cartesian equations. 5]. r = 2-2 cos 0

A: r=2-2cosθ Multiplying both sides by r, we get  r2=2r-2rcosθ                 1 We know that x=rcosθ,…

Q: 2) Convert the following Cartesian coordinates P(x, y) to Polar coordinates P (r,0) in terms of…

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Q: 10 Write an equivalent rectangular equation for the polar equation r = 3 sin 0-7 cos 0

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Q: Which of the following polar equations shows a limacon with a dent? A) r = 6 + 4 sin 0 B) r = 4 – 6…

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Q: H.W 1-Replace the polar equations with equivalent Cartesian equations. 1]. r = 4 sin 0

A: To convert the given polar equation to Cartesian equation, we make the substitution  x=r cos(θ), y=r…